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Finding the Fourth Proportional to 21,006.80, 31,499.40 and 7,852.40

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Solution

The fourth proportional to 21,006.80, 31,499.40 and 7,852.40 is: 11,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.80 : 31,499.40 = 7,852.40 : x
  2. Step 2: Convert to fraction form
    21,006.80/31,499.40 = 7,852.40/x
  3. Step 3: Cross multiply
    21,006.80x = 31,499.40 × 7,852.40
  4. Step 4: Simplify right side
    21,006.80x = 247,345,888.56
  5. Step 5: Solve for x
    x = 247,345,888.56/21,006.80
  6. Step 6: Final answer
    x = 11,774.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.